Elliptic curve data - 4.4.10304.1-16.3-b6

Formats: - HTML - YAML - JSON - 2024-05-16T08:32:40.104830

• ec_nfcurves •

  Column	Type
  Lvalue	numeric
  abs_disc	bigint
  ainvs	text
  analytic_rank	smallint
  bad_primes	jsonb
  base_change	jsonb
  class_deg	integer
  class_label	text
  class_size	smallint
  cm	integer
  cm_type	smallint
  conductor_ideal	text
  conductor_label	text
  conductor_norm	bigint
  conductor_norm_factors	integer[]
  degree	smallint
  disc	text
  equation	text
  field_label	text
  galois_images	jsonb
  gens	jsonb
  heights	numeric[]
  iso_label	text
  iso_nlabel	smallint
  isodeg	integer[]
  isogeny_matrix	jsonb
  jinv	text
  label	text
  local_data	jsonb
  minD	text
  n_bad_primes	integer
  ngens	smallint
  non_min_p	jsonb
  nonmax_primes	smallint[]
  nonmax_rad	integer
  normdisc	numeric
  number	smallint
  omega	numeric
  potential_good_reduction	boolean
  q_curve	boolean
  rank	smallint
  rank_bounds	jsonb
  reducible_primes	integer[]
  reg	numeric
  root_analytic_conductor	double precision
  semistable	boolean
  sha	integer
  short_class_label	text
  short_label	text
  signature	jsonb
  tamagawa_product	integer
  torsion_gens	jsonb
  torsion_order	smallint
  torsion_primes	integer[]
  torsion_structure	jsonb
  trace_hash	bigint

  
  {'Lvalue': {'__RealLiteral__': 0, 'data': '0.753905790252619', 'prec': 57}, 'abs_disc': 10304, 'ainvs': '0,-7/2,0,1/2;2,-4,-1/2,1/2;0,0,0,0;-1684,1569/2,777/2,-156;25795,-11359,-6023,2203', 'analytic_rank': 0, 'bad_primes': ['(-1/2*w^3+w^2+5/2*w-2)'], 'base_change': [], 'class_deg': 8, 'class_label': '4.4.10304.1-16.3-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^2+4)', 'conductor_label': '16.3', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(-2*w^3+5*w^2+8*w-24)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{3}-\\frac{7}{2}a\\right){x}{y}={x}^{3}+\\left(\\frac{1}{2}a^{3}-\\frac{1}{2}a^{2}-4a+2\\right){x}^{2}+\\left(-156a^{3}+\\frac{777}{2}a^{2}+\\frac{1569}{2}a-1684\\right){x}+2203a^{3}-6023a^{2}-11359a+25795', 'field_label': '4.4.10304.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 4, 4, 8, 2], [8, 1, 2, 8, 4, 4], [4, 2, 1, 4, 2, 2], [4, 8, 4, 1, 8, 2], [8, 4, 2, 8, 1, 4], [2, 4, 2, 2, 4, 1]], 'jinv': '776641025,1235508110,50566227,-164286883', 'label': '4.4.10304.1-16.3-b6', 'local_data': [{'p': '(-1/2*w^3+w^2+5/2*w-2)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 12, 'ord_den_j': 0}], 'minD': '(-1/2*w^3-5/2*w^2+12)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 4096, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '306.11174649005534493559161180395701587', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 12.827926897416225, 'semistable': False, 'sha': 1, 'short_class_label': '16.3-b', 'short_label': '16.3-b6', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[22,-23/2,-5,5/2],[-23,31/2,5,-7/2],[1,0,0,0]]', '[[37/2,-15/2,-9/2,3/2],[-21,67/8,21/4,-13/8],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1472538933240300125}